Question

F(x) = 8x2 – 2x + 3

Answer 1

Answer: $\text{h(x)}=-4x^2-6x+6$

Step-by-step explanation:

Given functions : $\text{f(x) }= 8x^2 - 2x + 3$  (1)

$\text{g(x)} = 12x^2 + 4x - 3$   (2)

To find :  $\text{ h(x) = f(x) - g(x)}$

Consider : $\text{ h(x) = f(x) - g(x)}$

i.e. Subtract the expression for g(x) in equation (2) from the expression for f(x) in (1), we get

$\text{ h(x)}=8x^2 - 2x + 3-(12x^2 + 4x -3)$

Multiply (-) sign inside the parentheses, we get

$\text{ h(x) }=8x^2 - 2x + 3-12x^2 -4x +3$

Combine like terms, we get

$\text{ h(x) }=8x^2-12x^2 - 2x -4x + 3 +3\\\\\Rightarrow\text{h(x)}=-4x^2-6x+6$

Hence, the correct answer is $\text{h(x)}=-4x^2-6x+6$

Answer 2

Answer:

Correct option is (C).

Step-by-step explanation:

$f(x) = 8 {x}^{2} - 2x + 3$

$g(x) = 12 {x}^{2} + 4x - 3$

Now,

h (x) =f (x) - g (x)

$h(x) = \: 8 {x}^{2} - 2x + 3 - 12 {x}^{2} - 4x + 3$

$h(x) = - 4 {x}^{2} - 6x + 6$

So, correct option is (C).

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